This much older modern human has the same fraction of Neanderthal DNA as modern humans today.
Think about it.
We haven't seen any ancient Modern Humans that have a different degree of Neanderthal ancestry.
When Modern Humans first bred with Neanderthals the offspring were 50/50. If these F1s bred with each other predominantly from then on you would end up with a new breeding population that was roughly 50/50 in heritage. If the F1s predominantly bred with Modern Humans, then the Neanderthan portion would be cut to 25% in the F2, and if the process repeats it is 12.5% in the F3, etc.
This process stops when there are effectively no more pure blood Modern Humans, that the Neanderthal genome has diffused evenly across the entire population. But subsequent re-encounters would inject new Neanderthal DNA and restart the process.
We haven't yet seen any evidence of this history yet. Even 45,000 years ago it was "ancient history" and epoch that passed many, many generations earlier.